Bruch-zu-Dezimal-Rechner

Schritt für Schritt Brüche in Dezimalzahlen umwandeln

Der Rechner wandelt den gegebenen (echten oder unechten) Bruch oder die gemischte Zahl in eine Dezimalzahl um (eventuell mit Wiederholungen oder wiederkehrenden Zahlen), wobei die Schritte angezeigt werden.

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Solution

Your input: convert 230050 into a decimal.

Write the problem in the special format:

46.0502300

Step 1

How many 50's are in 2? The answer is 0.

Write down the calculated result in the upper part of the table.

Now, 2050=20=2.

Bring down the next digit of the dividend.

0046.0502300.03000.lll0.lll23.

Step 2

How many 50's are in 23? The answer is 0.

Write down the calculated result in the upper part of the table.

Now, 23050=230=23.

Bring down the next digit of the dividend.

0046.0502300.03000.lll0.lll23.3000.lll0.lll230.

Step 3

How many 50's are in 230? The answer is 4.

Write down the calculated result in the upper part of the table.

Now, 230450=230200=30.

Bring down the next digit of the dividend.

0046.0502300.03000.lll0.lll23.3000.lll0.lll230.3000.lll200.lll300.

Step 4

How many 50's are in 300? The answer is 6.

Write down the calculated result in the upper part of the table.

Now, 300650=300300=0.

Bring down the next digit of the dividend.

0046.0502300.03000.lll0.lll23.3000.lll0.lll230.3000.lll200.lll300.300.0lll300.lll0.0

Step 5

How many 50's are in 0? The answer is 0.

Write down the calculated result in the upper part of the table.

Now, 0050=00=0.

0046.0502300.03000.lll0.lll23.3000.lll0.lll230.3000.lll200.lll300.300.0lll300.lll0.00.0lll.0lll0

Since the remainder is 0, then we are done.

Therefore, 230050=46.0

Answer: 230050=46.0